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2 answers:
Answer:
C. 469 in²
Step-by-step explanation:
The net of the object is a rectangle that is 28 inches long and 14 inches wide. Its area is 392 square inches.
In addition, there are two triangles with base 11 inches and height 7 inches. Together, they have the area of a rectangle 7 by 11, or 77 square inches.
The total surface area of the prism is then ...
(392 + 77) in² = 469 in²
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The area of a rectangle is the product of its length and width.
The area of a triangle is half the product of its base and height. So, the area of two identical triangles is the product of their base and height.
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<em>Comment on the geometry</em>
This geometry cannot exist as shown. The height of the triangular face is closer to 6.454 inches than to 7 inches.
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